Kolmogorovspectra
Kolmogorov spectra, also known as inertial range spectra, are a fundamental concept in turbulence theory, describing the statistical properties of turbulent flows at different scales. Proposed by Andrei Kolmogorov in 1941, these spectra relate the energy contained in turbulent eddies to the size of those eddies within a specific range of scales.
In a turbulent flow, energy is injected at large scales (e.g., from stirring or natural phenomena). This
Kolmogorov's first and second similarity hypotheses are central to the concept. The first hypothesis states that
This leads to the prediction that the energy spectrum, E(k), in the inertial range follows a power